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Finding the Fourth Proportional to 201,636.51, 302,454.76 and 83,310.92

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Solution

The fourth proportional to 201,636.51, 302,454.76 and 83,310.92 is: 124,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,636.51 : 302,454.76 = 83,310.92 : x
  2. Step 2: Convert to fraction form
    201,636.51/302,454.76 = 83,310.92/x
  3. Step 3: Cross multiply
    201,636.51x = 302,454.76 × 83,310.92
  4. Step 4: Simplify right side
    201,636.51x = 25,197,784,313.98
  5. Step 5: Solve for x
    x = 25,197,784,313.98/201,636.51
  6. Step 6: Final answer
    x = 124,966.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.